What is this problem: It is also a rational function. 6 / x^2 - 9 - 1 / x - 3 = 1 Answers: A) -1+-sqr(73) / 2 B)-4 C)2 D)3 or -4

Answers

Answer 1

Answer:  B)-4

Step-by-step explanation:

The given equation: [tex]\dfrac{6}{x^2-9}-\dfrac{1}{x-3}=1[/tex]

Using identity: [tex]a^2-b^2=(a-b)(a+b)[/tex]

[tex]\dfrac{6}{(x-3)(x+3)}-\dfrac{1}{x-3}=1\\\\\Rightarrow\ \dfrac{6-(x+3)}{(x-3)(x+3)}=1\\\\\Rightarrow\ \dfrac{6-x-3}{(x-3)(x+3)}=1\\\\\Rightarrow\ 3-x=(x-3)(x+3)\\\\\Rightarrow\ (-1)(x-3)=(x-3)(x+3)\\\\\Rightarrow\ -1=x+3\\\\\Rightarrow\ x=-1-3=-4 \ \ \ [x\neq3][/tex]

Hence, the solution is : x=-4

The correct option is B.


Related Questions

I need help with this asap plzzz&thank u!!

Answers

Answer:

94hhfgkifc llo gfc bbn jdcjkydcjkufv

50 points! I will mark brainliest! Find the value of x. Look at pic attached! Anyone who types random things or is just looking for points WILL BE REPORTED

Answers

Answer:

[tex]x=29[/tex]

Step-by-step explanation:

The two pair of angles that are given values are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]2x-10+4x+16=180,\\6x+6=180,\\6x=174,\\x=\fbox{$29$}[/tex].

Answer:

[tex]\huge{ x=29° }[/tex]

Step-by-step explanation:

Here,

The two lines are parallel.

So,The angle (2x-10) and (4x+16) are corresponding. because these angles are the consecutive interior angles.

we know that,

Sum of corresponding angle =180°

According to the question,

[tex]\bold{(2x-10)+(4x+16)=180 }[/tex]

[tex]\bold{2x-10+4x+16=180 }[/tex]

[tex]\bold{ 6x+6=180 }[/tex]

[tex]\bold{6x=180-6 }[/tex]

[tex]\bold{ 6x=174 }[/tex]

[tex]\bold{ x=\dfrac{174}{6} }[/tex]

[tex]\bold{ x=29 }[/tex]

so,

value of x=29°

When does the expression below equal
10?
n + 3
A when n=4
B when n = 10
C when n = 13
D when n = 7

Answers

Answer: n(7)+3=10
Explanation: 7+3 equals 10

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

When n = 7

[tex]n + 3[/tex]

[tex]7 + 3[/tex]

[tex]10[/tex]

hence, the given expression is equal to 10, when n = 7

Determine whether the following graph represents a function.

A. Function
B. Not a function

Answers

Answer:

B. not a function

Step-by-step explanation:

A function is a set of data in which no x values repeat, but where y values may or may not repeat.

Divide 1 1/2 divided by 1/4 in simplest form

Answers

Answer:

6

Step-by-step explanation:

1 1/2 divided by 1/4. Firstly you simplify the mixed number 1 1/2 to an improper fraction to make the process easier. So if it is simplified it would be 3/2.

Now you follow the division process and then simply the answer and it would be 6.

Answer:

Answer is 6

Step-by-step explanation:

Change 1 1/2 into 3/2

Multiply by the reciprocal: 3/2 x 4/1

3/2 x 4/1 = 12/2

12 divided by 2 = 6

Hope this helps :)

Susan drove 754 miles in 13 hours.
At the same rate, how long would it take her to drive 638 miles?

Answers

Answer:

It would take her 11 hours

Hope this is right

Step-by-step explanation:

Help please !!!!!!!!!!

Answers

9514 1404 393

Answer:

b = 7c = 5

Step-by-step explanation:

Opposite sides of a parallelogram have the same length, so ...

  5b +5c = 60

  5b +4c = 55

Subtracting the second equation from the first, we get ...

  c = 5

Substituting that into the first equation, we have ...

  5b +5·5 = 60

  5b = 35 . . . . . . . subtract 25

  b = 7 . . . . . . . . . . divide by 5

The values b = 7 and c = 5 will make this a parallelogram.

Find the measure of

Answers

Answer:

∠RST = 68°

Step-by-step explanation:

When looking at the diagram, we can infer that angle RST is the sum of angles RSQ and QST.

Therefore, angle RST = 46 + 22 = 68

∠RST = 68°

Which statement describes a property of water?
O A. It is less dense as a solid than as a gas.
o B. It is less dense as a solid than as a liquid.
C. It is more dense as a gas than as a liquid.
0
D. It is more dense as a solid than as a liquid.

Answers

Answer:

the answer is D. dense means heavier, basically

Answer:

its D dense

Step-by-step explanation:

because dense means more inside

what is 1+2=? i need to know if it’s 2 or 12

Answers

Answer:

3

Step-by-step explanation:

1+2 = 3

The answer will be 3

Someone please help me

Answers

Answer:

Hundreds is 8, tenths is 5, and thousandths is 1!

Answer:

Hundreds: 8

Tenths: 5

Thousandths: 1

Which equation is the correct translation for the following statement?

Five less than a number is ten.

I WILL BE MARKING BRAINLIEST

Answers

Answer:

i. x-5=10

Step-by-step explanation:

hope this help u

a student buys (x) fashion magazines and (y) sports magazines. Each fashion magazine costs $2.00 and each sports magazine costs $1.60. If the student buys a total of 8 magazines for $14.00, which equation best represents the situtation

Answers

Answer:

Step-by-step explanation:

the student buys a total of 8 magazines for $14.00

x+y = 8

x = 8-y

2x+1.6y = 14

2(8-y)+1.6y = 14

16-2y+1.6y = 14

16-0.4y = 14

0.4y =16-14 = 2

y = 2/0.4 = 5

x = 8-y = 3

The correct equation best represents the situation is,

⇒ x + y = 8

And, 2x + 1.60y = 14.00

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A student buys (x) fashion magazines and (y) sports magazines.

And, Each fashion magazine costs $2.00 and each sports magazine costs $1.60.

Here, The student buys a total of 8 magazines for $14.00.

Hence, We can formulate;

⇒ x + y = 8

And, 2x + 1.60y = 14.00

Thus, The correct equation best represents the situation is,

⇒ x + y = 8

And, 2x + 1.60y = 14.00

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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True or False To find the circumference of a circle you multiply the diameter by pi

Answers

Answer:

false

Step-by-step explanation:

Formula: c=2[tex]\pi[/tex]r

Circumference= two times pi times radius

A ladder is 59 inches tall. How tall is it in feet and inches?

Answers

4 Feet and about 9 inches

Answer:

4 feet 11 inches

Step-by-step explanation:

all you need to do is see how many groups of 12 is in 59

its 4 because 5 times 12 is 60

12 times 4 is 48

59-48= 11

4 feet 11 inches

Brainliest would be appreciated!

Best buy is having 20 percent off deals on TVs. if the TV cost $415 in total, how much would you pay with the discount? ​

Answers

Answer:

$332.00

Step-by-step explanation:

A visual-effects model maker for a movie draws a spaceship using a ratio of 1 : 24. The drawing of the spaceship is 22 inches long. What is the length of the spaceship in the movie?
Group of answer choices

Answers

Answer:

Length of spaceship in movie = 528

Step-by-step explanation:

Given that:

Drawing ratio of spaceship = 1 : 24

It means that 1 inch on drawing equals 24 inches in movie

Drawing of spaceship = 22 inches

Length of spaceship in movie = x

As the relationship is proportional,

1 : 24 :: 22 : x

Product of mean = Product of extreme

24*22 = x

x = 528

Hence,

Length of spaceship in movie = 528

I need help with this please help .

Answers

Answer:

Subs: 49.5 students, Tex-mex: 144 students, Italian: 31.5 students

Step-by-step explanation

The number of students eating a type of food can be found by using:

Percent * number of students

So in this equation, we can use this formula to find the answers.

Subs:

22% * 225 = 0.22 * 225 = 49.5

Tex-mex:

64% * 225 = 0.64 * 225 = 144

Italian:

14% * 225 = 0.14 * 225 = 31.5

There is an issue- you can't have half a person. Either this question is wrong, or the person who wrote it didn't keep this in mind.

Ask your teacher whether this question is right, or just leave the answer like this.

Triangle DAC is isosceles with congruent sides AD and AC. Which additional
given information is sufficient for showing that triangle DBC is isosceles?
Select all that apply.

Answers

Answer:

A, C, E

Step-by-step explanation:

Welcome :)

The total cost (c) in dollars of renting a car for n days is given by the inequality LaTeX: c\ge125+50nc ≥ 125 + 50 n. What is the maximum number of days for which a car could be rented if the total cost was $425?

Answers

Answer:

6 days

Step-by-step explanation:

Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n

To get the maximum number of days for which a car could be rented if the total cost was $425, substitute c = 425 into the expression and find n

425 ≥ 125 + 50n

Subtract 125 from both sides

425 - 125 ≥ 125 + 50n  - 125

300≥ 50n

Divide both sides by 50

300/50≥50n/50

6 ≥n

Rearrange

n≤6

Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days

help will mark brainliest plz plz plz

Answers

hope it will help you..............

Answer:

4.3

Step-by-step explanation:

subtract CD from CZ to find DZ

this is the same thing as CZ - CD = DZ

substitute in our values: 6.7 - 2.4 = DZ

you get DZ = 4.3

A 3m wide path runs outside and around a rectangular park of length 125m and breadth 65m.find the area of the path(whoever explains to me how to do it gets brainliest answer)​

Answers

This is basically asking area of a rectangle and Area of a rectangle is calculated by LENGTH times WIDTH so 125m multiply by 65 which is 8125m squared

Last week, Clay wrote 4 checks for $20 each from his checking account and
made one deposit of $96. What was the change in the balance of his account
over the week?*

Answers

Answer:

Step-by-step explanation:

clay will have

-80+96=16 dollars

the change in balance is +16

Can anyone help mee!!!

Answers

Answer: I want to say 30 degrees you have to put the degree simble

Step-by-step explanation:

Answer: 30 degrees
Explanation: all of the angles added together in a triangle is equivalent to 180 degrees
180-130-20=30

can someone please please please help me asap?!

Answers

Answer:

-1.5

Step-by-step explanation:

Rise is 3, run is -2

I hope this helps..

y= -5 + 2x
Is it positive or negative

Answers

slope is positive with a y intercept at (0,-5) hope this helps

Solve the area formula for a circle, A = πr2, for r2.






r2 = Aπ

r2 = A – π

Answers

Answer:

The solution of r² is r² = [tex]\frac{A}{\pi }[/tex]

Step-by-step explanation:

To solve an equation for one of its variables, do that

Separate the term of this variable on one side and the other terms on the other sidesMake the coefficient of the variable equals1 (if it is not 1)

Let us solve the question

∵ The formula of the area of the circle is A = π r²

∵ The subject is r² ⇒ The variable which we need to solve for it

→ By using the 1st step up divide both sides by π to move it from the right

   side to the left side

∵ [tex]\frac{A}{\pi }[/tex] = [tex]\frac{\pi r^{2}}{\pi }[/tex]

∴ [tex]\frac{A}{\pi }[/tex] = r²

→ Switch the two sides

r² = [tex]\frac{A}{\pi }[/tex]

Please help this is a major gradeeeeee

Answers

Answer:

45

Step-by-step explanation:

I think it’s
45 hopefully it’s right let me know!

Find the value of x

a. 7.5
b. 6
c. 10
d. 8

Answers

The value of the missing part of the triangle given above would be = 7.5. That is option A.

How to calculate the missing value of the given triangle?

To calculate the missing length of the similar triangle, the formula listed below should be used.

That is;

a/a+b = c/c+d

where a = 8

b = 10

c = 6

d = ?

That is;

8/8+10 = 6/6+d

make d the subject of formula;

8(d+6) = 6(18)

8d +48 = 108

8d = 108-48

8d = 60

d = 60/8

d = 7.5

Learn more about triangles here:

https://brainly.com/question/28470545

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. A girl pushes herself up a steep ramp in her
wheelchair. She gains a vertical distance of
25.8 m when she reaches the top of the ramp.
She turns around and coasts back down the ramp.
If the combined mass of the girl and her wheelchair
is 64.6 kg, what would be her coasting speed at the
bottom of the ramp? Show all your work.

Answers

Answer:

32 Joule by 21 secs

Step-by-step explanation:

I hope that's the correct answer. Best of luck

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